Hello,

I have the following Problem:

A={(x,y) elementofR2}: [e^(3-x^2-(y-2)^2)<=1)]

Is A convex? Is it open? Is it bounded?

I don`t know how to draw this set, the only thing I know that the definition of a convex set is that it is possible to join every element of the set with another element within the set with a straight line, without leaving the set.

I know that this set is not open, because it does not include all of its boundary points (because its domain has the sign <=)

I don`t know if the set is bounded, I only know that the definition of bounded is, that the set could be inside of a giant circle.

Sorry for my bad English. I hope someone can give me a good explaination about how to solve problems like this.